A line passes through (1, –5) and (–3, 7).Write an equation for the line in point-slope form. Rewrite the equation in slope-intercept form.

Answer:y - 7 = 3(x + 3)  and  y = 3x + 16Step-by-step explanation:Find the slope first:As we go from (–3, 7) to (1, –5), x increases by 4 and y increases by 12.  Hence, the slope is m = rise / run = 12 / 4, or m = 3.Next, modify the point-slope form y - k = m(x - h) by inserting the given info:                                                         y - 7 = 3(x -[-3]), or                                                          y - 7 = 3(x + 3)Note:  (h, k) represents the given point, which I have chosen to be (-3, 7).Next, convert this result to slope-intercept form.  Begin by solving this equation for y:  y = 7 = 3x + 9, or:y = 3x + 16